Anomaly cancellation in three-dimensional noncommutative gauge theories

Abstract

The anomaly found by Callan and Harvey is shown to be cancelled in a three-dimensional noncommutative gauge theory coupled to a fermion with a mass function depending on one spatial coordinate (domain wall mass). This evaluation has been done for the fermion in the fundamental and adjoint representations of the gauge group in the limit of small noncommutativity $\theta$ parameter.

11 pages, accepted to Phys. Lett. B

References in corpus (16)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• Chiral Gauge Anomalies on Noncommutative R^4
• The Origin of Chiral Anomaly and the Noncommutative Geometry
• Axial Anomaly in Noncommutative QED on R^4
• A note on consistent anomalies in noncommutative YM theories
• One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization
• The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction
• Anomaly Cancellation in 2+1 dimensions in the presence of a domainwall mass
• Dirac Fermions and Domain Wall Defects in 2+1 Dimensions
• Dynamical Domain Wall Defects in 2+1 Dimensions
• Noncommutative massive Thirring model in three-dimensional spacetime
• Zero modes in non local domain walls
• Dimensional reduction, magnetic flux strings, and domain walls

Cited by in corpus (2)

• On the anomalies in Lorentz-breaking theories
• Symplectic Dirac Equation